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Finding the Fourth Proportional to 1,180.26, 1,769.78 and 530.44

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Solution

The fourth proportional to 1,180.26, 1,769.78 and 530.44 is: 795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,769.78 = 530.44 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,769.78 = 530.44/x
  3. Step 3: Cross multiply
    1,180.26x = 1,769.78 × 530.44
  4. Step 4: Simplify right side
    1,180.26x = 938,762.10
  5. Step 5: Solve for x
    x = 938,762.10/1,180.26
  6. Step 6: Final answer
    x = 795.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.